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4th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781337687805

Chapter 2, Problem 13RQ

To determine

Whether the statement, “if *f* is continuous at 5 and

Expert Solution

The statement is true.

**Theorem used:** If *f* is continuous at *b* and

**Calculation:**

Given that, *f* is continuous at 5 and

Here, *f* is a composition of two functions.

Take

Obtain the limit of the function *x* approaches 2.

Here,

Thus,

Since *f* is continuous at 5 and

Substitute

Hence, the required proof is obtained.

Note that,

Thus, the given statement is true.